Question

solve the inequality and graph the solution.
1 ≥ v - 3
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Solve the inequality

Add \(3\) to both sides of \(1\geq v - 3\).
$$1+3\geq v-3 + 3$$
$$4\geq v$$
which can be rewritten as \(v\leq4\).

Step2: Graph the solution

The inequality \(v\leq4\) means all real numbers \(v\) that are less than or equal to \(4\). On the number - line, we place a closed circle at \(4\) (because \(v = 4\) is included in the solution set, due to the "\(\leq\)" sign) and draw a ray to the left.

Answer:

The solution of the inequality is \(v\leq4\). On the number - line, there is a closed circle at \(4\) and a ray extending to the left.